Oxygen consumption was assumed to follow Michaelis-Menten–type kinetics and to cease when local concentrations fell below a critical threshold. Results are in good agreement with experimental observations. By coupling this convection and diffusion model to the Navier–Stokes equations, true multiphysics models could be obtained for more complex cases such as perifusion chambers with flowing media or culture plates with rocking plate-induced agitation.

A related paper using this model can be found on the Theoretical Biology & Medical Modelling website: http://www.tbiomed.com/content/6/1/5